68476001345400 has 768 divisors, whose sum is σ = 245603640360960. Its totient is φ = 15620135731200.

The previous prime is 68476001345399. The next prime is 68476001345483. The reversal of 68476001345400 is 454310067486.

It is a super-2 number, since 2×68476001345400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68476001345400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2458994277 + ... + 2459022123.

It is an arithmetic number, because the mean of its divisors is an integer number (319796406720).

Almost surely, 2^{68476001345400} is an apocalyptic number.

68476001345400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68476001345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122801820180480).

68476001345400 is an abundant number, since it is smaller than the sum of its proper divisors (177127639015560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68476001345400 is a wasteful number, since it uses less digits than its factorization.

68476001345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28164 (or 28155 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 68476001345400 in words is "sixty-eight trillion, four hundred seventy-six billion, one million, three hundred forty-five thousand, four hundred".